A Sequential Partial Optimization Algorithm for Design of Near Linear-Phase IIR Digital Differentiators

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外文摘要：The linear phase is a major characteristic of digital differentiators in many signal processing applications.This study presents a sequential partial optimization method for designing a fullband infinite impulse response digital differentiator with a near linear phase.To achieve a near linear phase,the group delay is treated as an optimization variable,and the maximum phase error is minimized within a constrained domain.During each iteration of the algorithm,in addition to the whole numerator and group delay,only one second-order denominator factor is optimized.The necessary and sufficient stability triangles are applied to insure the stability of the differentiators,and the Gauss-Newton strategy is used to handle the nonconvexity of the design problems.Design examples show that the proposed method outperforms several state-of-the-art methods in terms of the maximum phase deviation from the desired linear phase.

外文关键词：

Digital differentiatorLinear phaseSequential partial optimizationGauss-Newton strategyMathematical programming

作者：

MENG Hailong、LAI Xiaoping、YI Huoping

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作者单位：

Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou 310018, China

Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China

基金：

This work is supported by the National Nature Science Foundation of ChinaThis work is supported by the National Nature Science Foundation of China

项目编号：

6157312361333009

出版年：

2019

DOI：

10.1049/cje.2019.06.017

中国电子杂志(英文版)

CSTPCDCSCDSCIEI

ISSN：1022-4653

年,卷(期)：2019.28(5)

被引量1
参考文献量28